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Finding the Fourth Proportional to 6,475.49, 9,700.38 and 4,989.56

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Solution

The fourth proportional to 6,475.49, 9,700.38 and 4,989.56 is: 7,474.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.49 : 9,700.38 = 4,989.56 : x
  2. Step 2: Convert to fraction form
    6,475.49/9,700.38 = 4,989.56/x
  3. Step 3: Cross multiply
    6,475.49x = 9,700.38 × 4,989.56
  4. Step 4: Simplify right side
    6,475.49x = 48,400,592.78
  5. Step 5: Solve for x
    x = 48,400,592.78/6,475.49
  6. Step 6: Final answer
    x = 7,474.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.